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Finding the Fourth Proportional to 14,357.26, 19,819.74 and 9,585.26

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Solution

The fourth proportional to 14,357.26, 19,819.74 and 9,585.26 is: 13,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.26 : 19,819.74 = 9,585.26 : x
  2. Step 2: Convert to fraction form
    14,357.26/19,819.74 = 9,585.26/x
  3. Step 3: Cross multiply
    14,357.26x = 19,819.74 × 9,585.26
  4. Step 4: Simplify right side
    14,357.26x = 189,977,361.03
  5. Step 5: Solve for x
    x = 189,977,361.03/14,357.26
  6. Step 6: Final answer
    x = 13,232.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.